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1,4066,1256,1475,3422,2790,1508,3220,426,198,3046,4013,2971,380,465,2352,2225,723,3278,2413,3092,1127,1820,1493,2316,2659,2115,3054,708,1231,4067,411,327,619,2805,218,1944,720,361,2820,1069,666,1244,2387,2900,1678,1936,2166,1230,3421,417,3228,1673,862,135,3034,963,2276,1873,3055,3300,2508,895,2712,1468,2542,1048,768,463,51,1166,410,3127,3938,2944,232,3282,3517,3013,2887,790,349,3822,3479,853,676,477,3027,2550,703,2901,3781,3751,1568,2418,692,3471,705,863,2234,798,2416,2013,4041,1644,2522,4051,1200,3997,3354,3020,3424,2673,2180,3962,1133,497,2019,3568,1224,2062,2844,1036,4060,1093,339,3507,514,2529,2067,2445,968,3748,1211,389,1290,3094,37,3615,3492,2569,2972,3619,1747,1986,1471,3992,1903,3789,1792,3735,537,3157,3725,1611,1741,3581,3140,914,140,4050,182,3765,1930,2984,1543,3396,1271,1650,1442,1157,1357,2459,519,161,3325,3317,2806,2008,1575,3338,113,915,2389,1430,765,1414,2689,3560,2732,1047,4003,3371,2545,4037,631,2938,1462,2143,534,3946,3359,3445,2904,4080,3454,566,2295,3792,1207,397,2941,3293,1919,2897,529,2394,3239,2965,1874,433,3797,846,3350,3202,122,2642,594,1300,3455,4075,1785,1396,3539,3921,3514,3649,2367,2579,3478,795,1884,3974,1933,228,764,3041,651,2665,2503,1621,1201,3550,3005,3606,3574,1393,817,2183,3085,1526,3740,2556,2272,2702,277,820,3376,299,1378,774,3657,3017,842,2393,2716,2186,2397,238,3672,2097,251,1197,906,458,2630,3724,921,3047,3774,1408,2615,721,40,282,1651,989,1790,111,2354,843,3051,2219,2911,3321,834,1662,2779,3968,3815,3990,3394,2348,2600,2747,711,446,747,884,3151,2913,3796,3898,3361,3008,170,312,1500,586,3472,4074,264,3434,3436,693,614,1553,1332,3872,38,1990,3267,1584,1987,1029,1088,2521,3738,1957,1528,2108,3031,1653,308,1440,147,1059,3904,1791,2320,194,2977,3902,1737,518,718,3745,3351,501,953,275,2100,1226,532,2181,1360,2907,1424,1086,3952,478,3103,2122,3548,350,971,1997,1451,1126,1074,2719,2249,1079,83,744,330,2421,1722,444,1298,1880,1128,469,2465,1580,2358,2087,2326,2593,3470,3829,2228,3071,3450,2022,2534,1022,1517,3272,1345,2427,233,2040,1233,2315,2513,3273,3857,2034,3427,456,581,229,3950,2438,2952,3600,652,1106,896,1730,1241,1876,1743,1909,2321,3744,2467,1513,3452,3838,2994,1042,2961,918,216,3227,1202,2973,3328,165,1545,2215,1937,3333,3976,3648,2428,1856,1409,3154,1684,2359,3510,2402,782,2106,2554,608,2011,874,3689,561,141,3754,1310,1599,551,1911,2884,3951,1180,672,2631,219,35,322,3712,1410,303,2598,1920,3594,2178,685,2729,1756,2109,204,901,1220,2205,827,1261,3851,2260,3726,185,2251,870,1952,658,2515,2957,878,2995,1850,3536,1574,724,1540,2391,1774,4092,3010,1594,2160,622,2363,3496,3364,1352,2304,268,925,1763,2031,1365,680,555,3139,452,2442,3079,611,279,598,273,1951,629,2092,2395,3942,1682,443,3808,1411,237,552,4069,755,1026,2405,104,964,436,3860,2764,3699,545,887,20,2596,1630,209,4008,3467,3945,2365,1228,3787,32,2105,1727,2892,1383,3270,271,408,1828,91,121,1089,511,3065,3015,3831,2217,920,2825,269,1507,3741,3360,3529,2909,3200,1706,1250,3969,153,3314,54,1140,2793,3146,4046,3451,1063,192,1142,865,1551,1492,1066,879,114,1720,2769,4084,1083,240,1571,167,451,2218,3503,1331,1015,2332,1242,3107,1965,584,2951,3555,2818,1690,1946,2102,3429,2562,2252,3288,439,1441,2025,3058,2154,2104,3108,2848,3442,1488,462,150,535,2029,191)(4,948,900,3292,1768,1905,2883,2954,2238,824,120,404,1925,753,3060,1098,3183,3883,2050,3830,2323,155,3493,1060,3038,3244,2505,3332,3453,2015,3569,2026,309,3189,2728,2546,2043,3628,3504,1805,943,3681,2327,4019,2023,1178,1786,2561,3393,1041,1222,1918,2835,2539,3811,2501,291,1322,2477,1991,1875,2494,3587,2436,3343,2694,2058,274,1801,2533,1193,3660,538,3271,2920,1754,2307,3890,2649,1883,57,1314,1979,1206,907,3993,1240,2570,2464,605,2382,1941,2168,2693,4031,2606,2691,1144,2923,2548,2476,2059,2992,3149,315,3040,1028,3610,278,3251,3408,2602,3634,2878,848,1243,2547,405,1347,2518,3542,1687,368,2817,1659,604,1799,2454,3223,955,450,3528,3897,4017,1544,3783,855,3187,4035,2253,1717,761,2784,3933)(34,3413,129,2608,3640,3505,2468,1681,166,3129,3519,3670,3257,1043,2800,3391,650,2740,1981,2057,664,2274,3877,3191,2422,876,3629,2927,2831,3802,1643,2898,398,196,970,3397,2063,263,2930,2810,2032,3652,2078,2857,796,1579,958,2758,3936,1187,321,472,1522,941,2401,1510,606,3647,2651,1346,3620,70)(195,750,2085,425,2128,1072,323,2932,2491,3258,2179,3973,845,2265,223,4063,3700,1337)(267,1978,1729,2423,2997,3730,1975,3255,781,4036,2190)(334,3931,1835,3841,1674,983)(1395,2715)(2113,3181) Generators of the automorphism group 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 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108,2645,2821,779,1483,1505)(228,570,3396,669,3783,1065,1236,2649,3333,795,3531,1569)(229,698,3400,1181,3799,3113,1300,2651,3589,803,460,1601)(230,826,3404,1693,3815,1066,1364,2653,3845,811,1484,1633)(232,1082,3412,2717,3847,1067,1492,2657,262,827,3532,1697)(233,1210,3416,3229,3863,3115,1556,2659,518,835,461,1729)(234,1338,3420,3741,3879,1068,1620,2661,774,843,1485,1761)(236,1594,3428,670,3911,1069,1748,2665,1286,859,3533,1825)(237,1722,3432,1182,3927,3117,1812,2667,1542,867,462,1857)(238,1850,3436,1694,3943,1070,1876,2669,1798,875,1486,1889)(239,1978,3440,2206,3959,3118,1940,2671,2054,883,2510,1921)(240,2106,3444,2718,3975,1071,2004,2673,2310,891,3534,1953)(241,2234,3448,3230,3991,3119,2068,2675,2566,899,463,1985)(242,2362,3452,3742,4007,1072,2132,2677,2822,907,1487,2017)(244,2618,3460,671,4039,1073,2260,2681,3334,923,3535,2081)(245,2746,3464,1183,4055,3121,2324,2683,3590,931,464,2113)(246,2874,3468,1695,4071,1074,2388,2685,3846,939,1488,2145)(264,1083,3540,2721)(265,1211,3544,3233,280,3131,3604,2723,520,1091,469,2753)(266,1339,3548,3745,296,1084,3668,2725,776,1099,1493,2785)(268,1595,3556,674,328,1085,3796,2729,1288,1115,3541,2849)(269,1723,3560,1186,344,3133,3860,2731,1544,1123,470,2881)(270,1851,3564,1698,360,1086,3924,2733,1800,1131,1494,2913)(271,1979,3568,2210,376,3134,3988,2735,2056,1139,2518,2945)(272,2107,3572,2722,392,1087,4052,2737,2312,1147,3542,2977)(277,2747,3592,1187,472,3137)(278,2875,3596,1699,488,1090,341,2749,3848,1195,1496,3169)(281,3259,3608,3235,536,3139,533,2755,521,1219,473,3265)(282,3387,3612,3747,552,1092,597,2757,777,1227,1497,3297)(284,3643,3620,676,584,1093,725,2761,1289,1243,3545,3361)(285,3771,3624,1188,600,3141,789,2763,1545,1251,474,3393)(286,3899,3628,1700,616,1094,853,2765,1801,1259,1498,3425)(287,4027,3632,2212,632,3142,917,2767,2057,1267,2522,3457)(290,316,3644,3748,680,1096,1109,2773,2825,1291,1499,3553)(292,572,3652,677,712,1097,1237,2777,3337,1307,3547,3617)(293,700,3656,1189,728,3145,1301,2779,3593,1315,476,3649)(294,828,3660,1701,744,1098,1365,2781,3849,1323,1500,3681)(297,1212,3672,3237,792,3147,1557,2787,522,1347,477,3777)(298,1340,3676,3749,808,1100,1621,2789,778,1355,1501,3809)(300,1596,3684,678,840,1101,1749,2793,1290,1371,3549,3873)(301,1724,3688,1190,856,3149,1813,2795,1546,1379,478,3905)(302,1852,3692,1702,872,1102,1877,2797,1802,1387,1502,3937)(303,1980,3696,2214,888,3150,1941,2799,2058,1395,2526,3969)(304,2108,3700,2726,904,1103,2005,2801,2314,1403,3550,4001)(305,2236,3704,3238,920,3151,2069,2803,2570,1411,479,4033)(306,2364,3708,3750,936,1104,2133,2805,2826,1419,1503,4065)(317,3772,3752,1192,1112,3157,2837,2827,1547,1507,482,322)(318,3900,3756,1704,1128,1110,2901,2829,1803,1515,1506,354)(319,4028,3760,2216,1144,3158,2965,2831,2059,1523,2530,386)(324,573,3780,681,1224,1113,3285,2841,3339,1563,3555,546)(325,701,3784,1193,1240,3161,3349,2843,3595,1571,484,578)(326,829,3788,1705,1256,1114,3413,2845,3851,1579,1508,610)(329,1213,3800,3241,1304,3163,3605,2851,524,1603,485,706)(330,1341,3804,3753,1320,1116,3669,2853,780,1611,1509,738)(332,1597,3812,682,1352,1117,3797,2857,1292,1627,3557,802)(333,1725,3816,1194,1368,3165,3861,2859,1548,1635,486,834)(334,1853,3820,1706,1384,1118,3925,2861,1804,1643,1510,866)(335,1981,3824,2218,1400,3166,3989,2863,2060,1651,2534,898)(336,2109,3828,2730,1416,1119,4053,2865,2316,1659,3558,930)(342,2877,3852,1707,1512,1122)(345,3261,3864,3243,1560,3171,534,2883,525,1731,489,1218)(346,3389,3868,3755,1576,1124,598,2885,781,1739,1513,1250)(348,3645,3876,684,1608,1125,726,2889,1293,1755,3561,1314)(349,3773,3880,1196,1624,3173,790,2891,1549,1763,490,1346)(350,3901,3884,1708,1640,1126,854,2893,1805,1771,1514,1378)(351,4029,3888,2220,1656,3174,918,2895,2061,1779,2538,1410)(356,574,3908,685,1736,1129,1238,2905,3341,1819,3563,1570)(357,702,3912,1197,1752,3177,1302,2907,3597,1827,492,1602)(358,830,3916,1709,1768,1130,1366,2909,3853,1835,1516,1634)(361,1214,3928,3245,1816,3179,1558,2915,526,1859,493,1730)(362,1342,3932,3757,1832,1132,1622,2917,782,1867,1517,1762)(364,1598,3940,686,1864,1133,1750,2921,1294,1883,3565,1826)(365,1726,3944,1198,1880,3181,1814,2923,1550,1891,494,1858)(366,1854,3948,1710,1896,1134,1878,2925,1806,1899,1518,1890)(367,1982,3952,2222,1912,3182,1942,2927,2062,1907,2542,1922)(368,2110,3956,2734,1928,1135,2006,2929,2318,1915,3566,1954)(369,2238,3960,3246,1944,3183,2070,2931,2574,1923,495,1986)(370,2366,3964,3758,1960,1136,2134,2933,2830,1931,1519,2018)(372,2622,3972,687,1992,1137,2262,2937,3342,1947,3567,2082)(373,2750,3976,1199,2008,3185,2326,2939,3598,1955,496,2114)(374,2878,3980,1711,2024,1138,2390,2941,3854,1963,1520,2146)(377,3262,3992,3247,2072,3187,2582,2947,527,1987,497,2242)(378,3390,3996,3759,2088,1140,2646,2949,783,1995,1521,2274)(380,3646,4004,688,2120,1141,2774,2953,1295,2011,3569,2338)(381,3774,4008,1200,2136,3189,2838,2955,1551,2019,498,2370)(382,3902,4012,1712,2152,1142,2902,2957,1807,2027,1522,2402)(383,4030,4016,2224,2168,3190,2966,2959,2063,2035,2546,2434)(388,575,4036,689,2248,1145,3286,2969,3343,2075,3571,2594)(389,703,4040,1201,2264,3193,3350,2971,3599,2083,500,2626)(390,831,4044,1713,2280,1146,3414,2973,3855,2091,1524,2658)(393,1215,4056,3249,2328,3195,3606,2979,528,2115,501,2754)(394,1343,4060,3761,2344,1148,3670,2981,784,2123,1525,2786)(396,1599,4068,690,2376,1149,3798,2985,1296,2139,3573,2850)(397,1727,4072,1202,2392,3197,3862,2987,1552,2147,502,2882)(398,1855,4076,1714,2408,1150,3926,2989,1808,2155,1526,2914)(399,1983,4080,2226,2424,3198,3990,2991,2064,2163,2550,2946)(400,2111,4084,2738,2440,1151,4054,2993,2320,2171,3574,2978)(537,3267)(538,3395,541,3779,553,1220,601,3269,793,3275,1561,3299)(540,3651,549,708,585,1221,729,3273,1305,3291,3609,3363)(542,3907,557,1732,617,1222,857,3277,1817,3307,1562,3427)(543,4035,561,2244,633,3270,921,3279,2073,3315,2586,3459)(548,580,581,709,713,1225,1241,3289,3353,3355,3611,3619)(550,836,589,1733,745,1226,1369,3293,3865,3371,1564,3683)(554,1348,605,3781,809,1228,1625,3301,794,3403,1565,3811)(556,1604,613,710,841,1229,1753,3305,1306,3419,3613,3875)(558,1860,621,1734,873,1230,1881,3309,1818,3435,1566,3939)(559,1988,625,2246,889,3278,1945,3311,2074,3443,2590,3971)(560,2116,629,2758,905,1231,2009,3313,2330,3451,3614,4003)(562,2372,637,3782,937,1232,2137,3317,2842,3467,1567,4067)(582,837,717,1737,1257,1242,3417,3357,3867,3627,1572,612)(586,1349,733,3785,1321,1244,3673,3365,796,3659,1573,740)(588,1605,741,714,1353,1245,3801,3369,1308,3675,3621,804)(590,1861,749,1738,1385,1246,3929,3373,1820,3691,1574,868)(591,1989,753,2250,1401,3294,3993,3375,2076,3699,2598,900)(592,2117,757,2762,1417,1247,4057,3377,2332,3707,3622,932)(602,3397,797,3787,1577,1252)(604,3653,805,716,1609,1253,730,3401,1309,3803,3625,1316)(606,3909,813,1740,1641,1254,858,3405,1821,3819,1578,1380)(607,4037,817,2252,1657,3302,922,3407,2077,3827,2602,1412)(614,838,845,1741,1769,1258,1370,3421,3869,3883,1580,1636)(618,1350,861,3789,1833,1260,1626,3429,798,3915,1581,1764)(620,1606,869,718,1865,1261,1754,3433,1310,3931,3629,1828)(622,1862,877,1742,1897,1262,1882,3437,1822,3947,1582,1892)(623,1990,881,2254,1913,3310,1946,3439,2078,3955,2606,1924)(624,2118,885,2766,1929,1263,2010,3441,2334,3963,3630,1956)(626,2374,893,3790,1961,1264,2138,3445,2846,3979,1583,2020)(628,2630,901,719,1993,1265,2266,3449,3358,3995,3631,2084)(630,2886,909,1743,2025,1266,2394,3453,3870,4011,1584,2148)(634,3398,925,3791,2089,1268,2650,3461,799,4043,1585,2276)(636,3654,933,720,2121,1269,2778,3465,1311,4059,3633,2340)(638,3910,941,1744,2153,1270,2906,3469,1823,4075,1586,2404)(639,4038,945,2256,2169,3318,2970,3471,2079,4083,2610,2436)(732,3657,1317)(734,3913,1325,1756,3689,1318,860,3661,1829,748,1610,1381)(735,4041,1329,2268,3705,3366,924,3663,2085,756,2634,1413)(742,842,1357,1757,3817,1322,1372,3677,3877,812,1612,1637)(746,1354,1373,3805,3881,1324,1628,3685,806,844,1613,1765)(750,1866,1389,1758,3945,1326,1884,3693,1830,876,1614,1893)(751,1994,1393,2270,3961,3374,1948,3695,2086,884,2638,1925)(752,2122,1397,2782,3977,1327,2012,3697,2342,892,3662,1957)(754,2378,1405,3806,4009,1328,2140,3701,2854,908,1615,2021)(758,2890,1421,1759,4073,1330,2396,3709,3878,940,1616,2149)(810,1356,1629,3813)(814,1868,1645,1766,874,1358,1885,3821,1834,1388,1630,3941)(815,1996,1649,2278,890,3406,1949,3823,2090,1396,2654,3973)(816,2124,1653,2790,906,1359,2013,3825,2346,1404,3678,4005)(818,2380,1661,3814,938,1360,2141,3829,2858,1420,1631,4069)(846,1869,1773,1770,1386,1374,3933,3885,1836,1644,1638,870)(847,1997,1777,2282,1402,3422,3997,3887,2092,1652,2662,902)(848,2125,1781,2794,1418,1375,4061,3889,2348,1660,3686,934)(862,3917,1837,1772,1642,1382)(863,4045,1841,2284,1658,3430,926,3919,2093,1780,2666,1414)(878,1870,1901,1774,1898,1390,1886,3949,1838,1900,1646,1894)(879,1998,1905,2286,1914,3438,1950,3951,2094,1908,2670,1926)(880,2126,1909,2798,1930,1391,2014,3953,2350,1916,3694,1958)(882,2382,1917,3822,1962,1392,2142,3957,2862,1932,1647,2022)(886,2894,1933,1775,2026,1394,2398,3965,3886,1964,1648,2150)(894,3918,1965,1776,2154,1398,2910,3981,1839,2028,1650,2406)(895,4046,1969,2288,2170,3446,2974,3983,2095,2036,2674,2438)(910,1871,2029,1778,2410,1406,3934,4013,1840,2156,1654,2918)(911,1999,2033,2290,2426,3454,3998,4015,2096,2164,2678,2950)(912,2127,2037,2802,2442,1407,4062,4017,2352,2172,3702,2982)(927,4047,2097,2292,2682,3462)(942,1872,2157,1782,2922,1422,1887,4077,1842,2412,1662,3942)(943,2000,2161,2294,2938,3470,1951,4079,2098,2420,2686,3974)(944,2128,2165,2806,2954,1423,2015,4081,2354,2428,3710,4006)(946,2384,2173,3830,2986,1424,2143,4085,2866,2444,1663,4070)(1903,2030,1906,2414,1918,3950,1966,1904,2158,1910,2926,1934)(1919,4078,1970,2416,2174,3958,2990,1936,2159,2038,2930,2446)(1935,2031,2034,2418,2430,3966,4014,1968,2160,2166,2934,2958)(1967,2032,2162,2422,2942,3982)(2175,4086,2994,2448) The automorphism group order is 49140